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Simplifying -2x + 6 + 6(x + 1) = -6x + 1 Reorder the terms: -2x + 6 + 6(1 + x) = -6x + 1 -2x + 6 + (1 * 6 + x * 6) = -6x + 1 -2x + 6 + (6 + 6x) = -6x + 1 Reorder the terms: 6 + 6 + -2x + 6x = -6x + 1 Combine like terms: 6 + 6 = 12 12 + -2x + 6x = -6x + 1 Combine like terms: -2x + 6x = 4x 12 + 4x = -6x + 1 Reorder the terms: 12 + 4x = 1 + -6x Solving 12 + 4x = 1 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 12 + 4x + 6x = 1 + -6x + 6x Combine like terms: 4x + 6x = 10x 12 + 10x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 12 + 10x = 1 + 0 12 + 10x = 1 Add '-12' to each side of the equation. 12 + -12 + 10x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 1 + -12 10x = 1 + -12 Combine like terms: 1 + -12 = -11 10x = -11 Divide each side by '10'. x = -1.1 Simplifying x = -1.1
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